Answer:
Step-by-step explanation:
5ˣ⁺² = 5⁹
log₅(5ˣ⁺²) = log₅(5⁹)
x+2 = 9
x = 7
To solve the problem we must know about the correlation coefficients.
<h3>What is the
correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
The correlation coefficient -0.9847 denotes, "There is a strong negative relationship between x and y".
Given to us
- The correlation coefficient for the data is −0. 9847.
As we can see that the value of the correlation coefficient is 0.9847, therefore, it is close to 1 means the relationship is strong, while the '-' symbol denotes that the relationship is negative.
Hence, the correlation coefficient -0.9847 denotes, "There is a strong negative relationship between x and y".
Learn more about Correlation Coefficients:
brainly.com/question/15353989
Answer:
a. ![\frac{2x + 3}{x+5}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%20%2B%203%7D%7Bx%2B5%7D)
b. x ≠ -5 (Vertical asymptote) and x ≠ 5 (Hole)
Step-by-step explanation:
Factor the numerator (Grouping):
Two numbers that multiply to -30 and add to -7 = -3 and 10
![[2x^2 - 10x] + [3x - 15]](https://tex.z-dn.net/?f=%5B2x%5E2%20-%2010x%5D%20%2B%20%5B3x%20-%2015%5D)
![(2x + 3)(x - 5)](https://tex.z-dn.net/?f=%282x%20%2B%203%29%28x%20-%205%29)
Factor the denominator (Difference of Two Squares):
= ![(x +5)(x-5)](https://tex.z-dn.net/?f=%28x%20%2B5%29%28x-5%29)
Factored Expression:
(x - 5) can be factored out of top and bottom as a hole-
![\frac{(2x + 3)(x - 5)}{(x + 5)(x - 5)} = \frac{2x + 3}{x+5}](https://tex.z-dn.net/?f=%5Cfrac%7B%282x%20%2B%203%29%28x%20-%205%29%7D%7B%28x%20%2B%205%29%28x%20-%205%29%7D%20%3D%20%5Cfrac%7B2x%20%2B%203%7D%7Bx%2B5%7D)
Variable Restrictions:
Denominator ≠ 0
![x + 5 = 0\\x = -5](https://tex.z-dn.net/?f=x%20%2B%205%20%3D%200%5C%5Cx%20%3D%20-5)
Vertical asymptote at x = -5 ⇒ x ≠ -5
Hey there!
![Answer:\boxed{1.3*10^{11} }](https://tex.z-dn.net/?f=Answer%3A%5Cboxed%7B1.3%2A10%5E%7B11%7D%20%7D)
![Explanation:](https://tex.z-dn.net/?f=Explanation%3A)
(130 billion) in scientific notation:
![\boxed{1.3*10^{11}}\text{ is your answer.}](https://tex.z-dn.net/?f=%5Cboxed%7B1.3%2A10%5E%7B11%7D%7D%5Ctext%7B%20is%20your%20answer.%7D)
Hope this helps!
![\text{-TestedHyperr}](https://tex.z-dn.net/?f=%5Ctext%7B-TestedHyperr%7D)
Answer:
Step-by-step explanation:
This is true: the result of adding two polynomials will always be another polynomial.
Plz mark the answer as brainlist